Superconformal Indices for N = 6 Chern Simons Theories

By J. Bhattacharya, Shiraz Minwalla. 2008

204 citations recorded by the source corpus.

Aharony, Bergman, Jafferis and Maldacena have recently proposed a dual gravitational description for a family of superconformal Chern Simons theories in three spacetime dimensions. In this note we perform the one loop computation that determines the field theory superconformal index of this theory and compare with the index computed over the Fock space of dual supersymmetric gravitons. In the appropriate limit (large N and large k) we find a perfect match.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ee784d858234b388872f63cfc1be0acd19f62fd4

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Citations in the corpus

Three-dimensional N=6 SCFT's and their membrane dynamics (2008, methodology): “Similar considerations haven been used in [63, 64] to address classically the problem of N = 1 superconformal field theories in four dimensions, a setup that we will follow closely (see also [65, 66] for related”
Exact correlators of BPS Operators from the 3d superconformal bootstrap (2014, background): “For any N = 2 SCFT one can define the superconformal index [68, 71] as”
ABJ triality: from higher spin fields to strings (2012, methodology): “In this limit the ABJ theory is free and its partition function is given by the simple formula [45, 20, 46]”
Index for three dimensional superconformal field theories with general R-charge assignments (2011, methodology): “Such an analysis is performed in [8, 9, 11] for the ABJM model and the complete agreement of the gauge theory index and the gravity index is confirmed.”
Spin Chains in N = 6 Superconformal Chern-Simons-Matter Theory (2008, methodology): “See also [9, 16, 17, 18, 19, 20] for subsequent works on this theory, and [2, 3, 4, 5, 6, 7, 8] for recent works on M2-brane world volume theories.”
A Massive Study of M2-brane Proposals (2008, background): “The theory for general k is proposed to describe M2-branes on an N = 6 preserving R(8)/Zk orbifold, and some aspects of this prediction for large k have been checked in [15][17].”
The complete superconformal index for N=6 Chern–Simons theory (2009, methodology): “When all ni, ñi are zero, our letter indices f± ij all reduces to f ±, which are exactly the letter indices obtained in [23].”